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A new Solution of Sylvester's Problem of the Three Ternary Equations

Published online by Cambridge University Press:  15 September 2014

Hon. Lord M'Laren
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Extract

The solution is effected by the method of Symmetric Functions.

By a preliminary transformation * the equations of the original system are put into the form

Type
Proceedings
Information
Proceedings of the Royal Society of Edinburgh , Volume 19 , July 1893 , pp. 264 - 265
Copyright
Copyright © Royal Society of Edinburgh 1893

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References

* The transformation is effected by dividing the original equations respectively by x2y2,y2,z2,z2x2 and then putting X, Y, Z for . The transformation used by Professor Tait in his paper (which I have seen in proof) would equally answer the purpose of this solution.